Assuming oxygen molecule to be spherical in shape calculate the volume of a single molecule of oxygen if its radius - Chemistry - States of Matter

Question

Assuming oxygen molecule to be spherical in shape calculate the
volume of a single molecule of oxygen if its radius is 150 pm also
calculate the percentage of empty space in 1 mole of the gas at the
STP

Geetha · Accepted Answer

Dear Tikeya,

Volume of a sphere = 43 π r3Volume of  a single oxygen molecule =43×227 × (150 × 10-10)3            = 1
414 × 10-23 cm3Since 1 mole of the gas contains avogadro number of moleculesVolume of 1 mole of the gas = 1
414 × 10-23 ×  6
022 × 1023                      = 8
515  cm3Volume of 1 mole of any gas occupies 22
4 L = 22400 cm3Thus the empty space = 22400 - 8
515 = 22391
49 cm3% of empty space = 22391
4922400 × 100 = 99 96 %

Assuming oxygen molecule to be spherical in shape calculate the volume of a single molecule of oxygen if its radius is 150 pm also calculate the percentage of empty space in 1 mole of the gas at the STP.